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Find the First Six Terms (Rounded to Three Decimal Places)

Question 12

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Find the first six terms (rounded to three decimal places) of the Fourier series. Assume half-wave symmetry.
x020406080100120140160180y02.14.87.511.210.96.85.22.40\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}\hline\boldsymbol{x} & 0^{\circ} & 20^{\circ} & 40^{\circ} & 60^{\circ} & 80^{\circ} & 100^{\circ} & 120^{\circ} & 140^{\circ} & 160^{\circ} & 180^{\circ} \\\hline\boldsymbol{y} & 0 & 2.1 & 4.8 & 7.5 & 11.2 & 10.9 & 6.8 & 5.2 & 2.4 & 0 \\\hline\end{array}

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